Calculus I, MAT 175
Section I401 (Fall 2009)
Instructor: Rob Schneiderman
Email: robert.schneiderman@lehman.cuny.edu
Office hours: Mondays 12:45-2:00pm, and
Wednesdays 2:00-3:45pm, Gillet Hall room 137H.
Class meetings: Mondays and Wednesdays 11:00am-12:40pm, in Gillet Hall room 205.
Prerequisite: MAT 172 (C+ and up strongly recommended), students are encouraged to attend an Intensive Precalculus Review Session offered by the department in the second week of class.
Corequisite: MAT 155 to learn Maple Classic
Text: Larson, Hostetler and Edwards, Calculus (Early Transcendentals) FOURTH EDITION
Houghton Mifflin, Do not buy the `single variable' version.
Textbook's Webpage:
http://www.college.hmco.com/mathematics/larson/calculus_early/4e/student_home.html
Procedure: At each class we will cover material from the text. Try to read lessons before class, and do (at least) the assigned exercises as soon as possible after class (some will be done during class). Regular quizzes (based on the exercises) will be given in class. Approximately 2 hours of homework will be assigned each meeting.
Grading: Course grades will be based on quizzes (10%), three midterm exams (20% each), and a final exam (30%).
Final Exam: The final exam will be given on a date during finals week; the exact date and time will be announced during the semester. The final exam will cover all material from the course.
Enrolled students can access course information using the online Blackboard system at:
http://lca.lehman.cuny.edu/lehman/itr/html/blackboard.asp
General information about Calculus at Lehman is available at: http://comet.lehman.cuny.edu/calculus/
Syllabus: Here are the sections we plan to cover, and the assigned problems for each section. You should try to do more than these problems if you want to do well in this course.
Lesson 1: Review Graphs and Trigonometry (Sections 1.1, 1.2 and D3)
1.1/ 1, 3, 19, 21, 39-47 odd, 51-55 odd, 63-67 odd;
1.2/ 35, 43, 49-55 odd, 77. (go to the Math Lab for help)
(Review online trigonometry appendix D3 at:
http://www.college.hmco.com/mathematics/larson/calculus_early/4e/resources/appendices/appendixd3.pdf )
Lesson 2: Review Elementary Functions (Sections 1.3, 1.6)
1.3/ 5, 7, 9, 13, 17, 19, 21, 57, 59, 61, 63, 95(a).
1.6/ 7-15 odd, 19, 25, 27, 49, 59-63 odd, 77, 79, 81, 85, 91, 93.
Lessons 3-4: Limits (2.1-2.2)
2.2/11, 13, 15, 19, 21, 23, (math majors should also do: 31, 33, 39, 49).
Lessons 5-6: Evaluating Limits and the Squeeze Theorem (2.3)
including Three Special Limits
2.3/ 9 ,11, 13, 43, 45,
2.3/ 37, 53, 57, 69, 79, (118, 125)
Lesson 7: Continuity (2.4)
2.4/ 1, 3, 5, 11, 43, 63
Lesson 8: Infinite Limits and Asymptotes (2.5)
2.5/ 1, 3, 9, 11, 13, 15, 31, 33, 39, 45, 47
Lessons 9-10: Review and Exam I on all the above material
Students who do poorly on this exam should consider dropping this course and attending a class on precalculus before taking calculus. Please consult with your professor or Mr. Rothchild in Gillet 104 for more personalized advice. Bring your exam and homework with you when seeking advice.
Lessons 11-12: Tangent Lines and Derivatives (3.1)
3.1/ 1, 3, 5, 7, 11, 21
3.1/ 39-42, 47, 71, 75
Review Composition of Functions in 1.3/example 4, 59, 61, 63
Lesson 13-14: Laws of Differentiation including the product rule (3.2-3)
Review Homework on Inverse Functions in 1.5/1, 5, 7, 9-12, 13, 19
3.2/ 5, 7, 17, 21, 23, 43, 53(a), 55(a), 57, 59
3.3/1, 3, 7, 25, 35, 37, 41, 49, 51, 71(a)
Lesson 15: Chain Rule (3.4)
3.4/ 11, 21, 49, 57, 65, 81, 115(a), 117(a)
Lesson 16: Implicit Differentiation (3.5-3.6)
3.5/ 7, 21, 35; 3.6/ 7, 15, 25
Lessons 17 and 18: Related Rates (3.7)
3.7/ 5, 7, 13, 15, 27, 39; Chap 3 Review/ 3, 7, 11(a), 17-31 odd, 43, 51, 57, 67, 73, 87, 121.
3.8 on Newton's Method will be done in MAT155
Lessons 19 and 20: Review and Exam II on Chapter 3
Lessons 21-22: Extrema, Mean Value Theorem, Increasing/Decreasing (4.1-3)
4.1/ 1, 11, 13, 15, 23, 31,
4.3/ 1, 3, 17, 27
Review Old Homework on Limits (2.5).
Lesson 23: Concavity (4.4)
4.4/ 1, 3, 5, 19, 23, 27, 29
Lesson 24: Limits at infinity (4.5) and, if time allows, L'hopital's Rule (8.7)
4.5/ 1, 3, 5, 7, 17, 19, 23; 8.7/ 19, 27, 29, 33, 35
Curve sketching (4.6) will be covered in MAT155
Lessons 25: Review Exam III on Chapter 4
Lesson 26: Optimization and Business Applications (4.7, appendix C)
4.7/ 3, 5, 7, 9, 27, 33; appendix C/ 3, 7
Lesson 27: Antidifferentiation (5.1) if time allows
5.1/ 5, 7, 21, 31, 43, 53, 55, 57
Lesson 28: Review for the final